An overview on the applications of matrix theory in wireless communications and signal processing
type: Item
instance of: scholarly article
title: An overview on the applications of matrix theory in wireless communications and signal processing
zbMATH Open document ID: 1461.94049
author: Xu Wang
author: E. Serpedin
published in: Algorithms
publication date: 2019-03-26T00:00:00Z
review text: Summary: This paper overviews the key applications enabled by matrix theory in two major fields of interest in electrical engineering, namely wireless communications and signal processing. The paper focuses on the fundamental role played by matrices in modeling and optimization of wireless communication systems, and in detection, extraction and processing of the information embedded in signals. Among the major applications in wireless communications, the role of matrix representations and decompositions in characterizing multiple-input multiple-output (MIMO) and orthogonal frequency division multiplexing (OFDM) communication systems is described. In addition, this paper points out the important contribution made by matrices in solving signal estimation and detection problems. Special attention is given to the implementation of matrices in sensor array signal processing and the design of adaptive filters. Furthermore, the crucial role played by matrices in representing and processing digital images is depicted by several illustrative applications. This paper concludes with some applications of matrix theory in the area of compressive sensing of signals and by outlining a few open research problems for future study.
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 7042377
zbMATH Keywords: matrix
zbMATH Keywords: signal processing
zbMATH Keywords: wireless communications
zbMATH Keywords: image processing
zbMATH Keywords: compressive sensing
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a9040068
OpenAlex ID: W2530562455
cites work: A Mathematical Theory of Communication
cites work: Q3425498
cites work: Q5689624
cites work: Q3138763
cites work: Q3787904
cites work: On the numerical stability and accuracy of the conventional recursive least squares algorithm.
cites work: Error propagation properties of recursive least-squares adaptation algorithms
cites work: Round-off error propagation in four generally-applicable, recursive, least-squares estimation schemes
cites work: New Improved Recursive Least-Squares Adaptive-Filtering Algorithms
cites work: Gradient-based variable forgetting factor RLS algorithm in time-varying environments
cites work: A robust recursive least squares algorithm
cites work: Q3479946
cites work: Introduction to spectral analysis
cites work: Characteristic vectors of bordered matrices with infinite dimensions
cites work: DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES
cites work: A Deterministic Equivalent for the Analysis of Correlated MIMO Multiple Access Channels
cites work: On the Capacity Achieving Covariance Matrix for Frequency Selective MIMO Channels Using the Asymptotic Approach
cites work: Random matrix methods for wireless communications.
cites work: Random Matrix Theory and Wireless Communications
cites work: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
cites work: Quantitative robust uncertainty principles and optimally sparse decompositions
cites work: Decoding by Linear Programming
cites work: Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
cites work: For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution
cites work: A simple proof of the restricted isometry property for random matrices
cites work: Sparse Approximate Solutions to Linear Systems
cites work: Uncertainty principles and ideal atomic decomposition
DOI: 10.3390/A9040068
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description: scientific article; zbMATH DE number 7042377